Question
For $A=\{-1,0,1\}$ and $B=\{x, y\}$, determine $A \times B$.
Step 1
The Cartesian product of two sets \( A \) and \( B \), denoted \( A \times B \), is the set of all ordered pairs \( (a, b) \) where \( a \) is an element of \( A \) and \( b \) is an element of \( B \). Show more…
Show all steps
Your feedback will help us improve your experience
Vicki Stebbins and 87 other educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Given sets $A$ and $B,$ find $A \times B$ $A=\{1,2,3\}, B=\{-3,-2,-1,0\}$
Solving Inequalities
Unions and Intersections of Sets
$$ \text { If } \mathrm{A} \times \mathrm{B}=\{(a, x),(a, y),(b, x),(b, y)\} . \text { Find } \mathrm{A} \text { and } \mathrm{B} \text { . } $$
Relations and Functions
Introduction
Let $A=\{a, b, c, d\}$ and $B=\{y, z\} .$ Find $$ \begin{array}{lll}{\text { a) } A \times B} & {\text { b) } B \times A}\end{array} $$
Basic Structures: Sets, Functions, Sequences, Sums,and Matrices
Sets
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD